Name: Inverse Linear Problems on Hilbert Space and Their Krylov Solvability
Price: 67.95 EUR
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Author: Caruso, Noè Angelo ; Michelangeli, Alessandro
ISBN: 9783030881580

portada Inverse Linear Problems on Hilbert Space and Their Krylov Solvability

Inverse Linear Problems on Hilbert Space and Their Krylov Solvability

Type

Physical Book

Author

Noè Angelo Caruso

Alessandro Michelangeli

Publisher

Springer

Language

English

Pages

140

Format

Hardcover

Dimensions

23.4 x 15.6 x 1.1 cm

Weight

0.39 kg.

ISBN13

9783030881580

Synopsis "Inverse Linear Problems on Hilbert Space and Their Krylov Solvability"

This book presents a thorough discussion of the theory of abstract inverse linear problems on Hilbert space. Given an unknown vector f in a Hilbert space H, a linear operator A acting on H, and a vector g in H satisfying Af=g, one is interested in approximating f by finite linear combinations of g, Ag, A2g, A3g, ... The closed subspace generated by the latter vectors is called the Krylov subspace of H generated by g and A. The possibility of solving this inverse problem by means of projection methods on the Krylov subspace is the main focus of this text.After giving a broad introduction to the subject, examples and counterexamples of Krylov-solvable and non-solvable inverse problems are provided, together with results on uniqueness of solutions, classes of operators inducing Krylov-solvable inverse problems, and the behaviour of Krylov subspaces under small perturbations. An appendix collects material on weaker convergence phenomena in general projection methods.This subject of this book lies at the boundary of functional analysis/operator theory and numerical analysis/approximation theory and will be of interest to graduate students and researchers in any of these fields.

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Inverse Linear Problems on Hilbert Space and Their Krylov Solvability - Caruso, Noè Angelo ; Michelangeli, Alessandro

Synopsis "Inverse Linear Problems on Hilbert Space and Their Krylov Solvability"

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